Certain subclasses of meromorphically multivalent functions associated with generalized hypergeometric function
- Aouf, M.K.
Publication date
February 2008
DOI Publisher
Elsevier Ltd. ISSN
0898-1221 Citation count (estimate)
27Abstract
AbstractIn this paper we introduce and study two subclasses Σp,q,s(α1;A,B,λ) and Σp,q,s+(α1;A,B,λ) of meromorphic p-valent functions of order λ(0≤λ<p) defined by certain linear operator involving the generalized hypergeometric function. We investigate the various important properties and characteristics of the problem. We extend the familiar concept of neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions. We also derive many interesting results for the Hadamard products of functions belonging to the class Σp,q,s+(α1;A,B,λ)
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